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kobusy [5.1K]
3 years ago
11

The radius of a cylindrical gift box is (2x+3) in. The height of the gift box is twice the radius. What is the surface area of t

he cylinder? Write your answer as a polynomial in standard form.
Mathematics
1 answer:
inessss [21]3 years ago
3 0
SA=2pir^2+2hpir=2pir(r+h)
h=2r=2(2x+3)=4x+6

SA=2pi(2x+3)(2x+3+4x+6)
SA=(4x+6)(pi)(6x+9)
SA=24πx²+27πx+54π
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In which of the number lines does the plotted point represent a number greater than -1 1/2? Check all that apply.
Nikitich [7]

Hi!

The first number line is equals to -1\frac{1}{2}

The second number line is equals to \frac{-1}{2}

The third number line is equals to -2\frac{1}{2}

The fourth number line is equals to 2

The fifth number line is equals to 0

The sixth number line is -2\frac{3}{4}

The answer is; second, fourth and fifth number lines.

<em></em>

<em>I hope, I could help.</em>

<em>Wish Good Lessons! ^-^</em>

6 0
3 years ago
Read 2 more answers
I need a percentage, and 60 doesn't work. Please help!
alukav5142 [94]

The probability that you will wait for at most 5 seconds is 6.7%

<h3>How to determine the probability?</h3>

The given parameters are:

Green = 40

Yellow = 5

Red = 30

When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.

The probability is then calculated as:

P(Yellow) = 5/(40 + 5 + 30)

Evaluate

P(Yellow) = 6.7%

Hence, the probability that you will wait for at most 5 seconds is 6.7%

Read more about probability at:

brainly.com/question/15246027

#SPJ1

5 0
2 years ago
Solve the following equation for 0°≤x≤360° : 2 cot 2x + 3 = 0
evablogger [386]

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

3 0
3 years ago
In the first week of​ July, a record 1100 people went to the local swimming pool. In the second​ week, 125 fewer people went to
Vladimir [108]
In July:
First week:
Number of people went to the local swimming pool =1040
Second week:
110 fewer people went to the pool than in the first week
so,
Number of people went to the local swimming pool =1040-110
=930
Third week:
130 more people went to the pool than in the second week
so,
Number of people went to the local swimming pool =930+130
=1060
Fourth week:
228 fewer people went to the pool than in the third week
so,
Number of people went to the local swimming pool =1060-228
=832
Decrease in number of people over four week= number of people in first week - number of people in fourth week
Decrease in number of people over four week=1040-832
=208
now, we can find percentage
Percentage is

=20%.........Answer
6 0
3 years ago
the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following
alisha [4.7K]

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

138+x+x=180 \iff 2x=42 \iff x=21

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

3 0
3 years ago
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